[Solved] where clause with date range give strange result

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there are many ways of skinning this particular cat, this is just one method. By the way in your example you gave a date of 31st April, this does not exists.

SELECT TO_Char(ordered_date,'DD-MON-YYYY') as ordered_date,
    order_number, customer_name   
FROM order_tbl
WHERE NVL(:P_ORDER_NUMBER, order_number) = order_number
  AND ordered_date between NVL(TO_DATE(:P_FROM_DATE,'DD-MON-YYYY'),TO_DATE('01-MAR-1900','DD-MON-YYYY')) and NVL(to_date(:P_TO_DATE,'DD-MON-YYYY'),TO_DATE('31-DEC-2100','DD-MON-YYYY'))   
  AND NVL(:P_CUSTOMER_NAME, customer_name) = customer_name

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solved where clause with date range give strange result